Question

a sign that weighs 400N is hanging from two cables that form angles of 24 degrees with the horizontal. What is the tension in each cable?

Answer 1

Refer to the diagram shown below.

The tension, T, in each cable is the same because of vertical symmetry.

For vertical equilibrium,
2T sin(24°) = 400 N
0.8135 T = 400
T = 491.7 N

Answer: 491.7 N